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Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions
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Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Barbara / Kukavica Kaltenbacher

307 pages, parution le 02/07/2018

Résumé

This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions.

This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.

An introduction to a fluid-structure model.- Linear parabolic-hyperbolic fluid-structure interaction models.- Flow-plate interactions: well-posedness and long-time behavior.- Some aspects in nonlinear acoustics coupling and shape optimization

Barbara Kaltenbacher

Igor Kukavica

Irena Lasiecka

Roberto Triggiani

Amjad Tuffaha

Justin T. Webster


Caractéristiques techniques

  PAPIER
Éditeur(s) Birkhauser verlag
Auteur(s) Barbara / Kukavica Kaltenbacher
Parution 02/07/2018
Nb. de pages 307
EAN13 9783319927824

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